#10836: primitive root is broken
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Reporter: kcrisman |
Owner: was
Type: defect |
Status: positive_review
Priority: critical |
Milestone: sage-4.7
Component: number theory |
Keywords:
Author: Karl-Dieter Crisman, William Stein, Jeroen Demeyer |
Upstream: Reported upstream. Developers deny it's a bug.
Reviewer: William Stein, Karl-Dieter Crisman, Jeroen Demeyer |
Merged:
Work_issues: |
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Comment(by jdemeyer):
Replying to [comment:27 kcrisman]:
> That means we should, in theory, fix
Actually, I think both of these statements are 100% correct in the patch.
> "`k` is a nonnegative number."
Here, we are talking about exponents which are allowed to be zero, so this
is correct.
> "assumed to be a positive integer possessing a primitive root"
This is also correct because PARI's behaviour for negative arguments to
`znprimroot()` is undocumented, so we cannot rely on it (in practice, it
does work though).
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Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/10836#comment:28>
Sage <http://www.sagemath.org>
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